Matrix e^A=limit of (I+A/s)^s
From specialfunctionswiki
Theorem
The following formula holds for any matrix $A \in \mathbb{C}^{n \times n}$: $$e^A = \displaystyle\lim_{s \rightarrow \infty} \left( I + \dfrac{A}{s} \right)^s.$$
Proof
References
- 2008: Nicholas Higham: Functions of Matrices: Theory and Computation ... (previous) ... (next): $(10.2)$